WIAS Preprint No. 1002, (2005)
Surface waves on permeable and impermeable boundaries of poroelastic media
- Albers, Bettina
2010 Mathematics Subject Classification
- 74J15 76S05 74S99
- Surface waves, flows in porous media, numerical analysis of dispersion relation
This work is devoted to the numerical analysis of surface waves in two-component saturated poroelastic media. We use the ßimple mixture model" which is a simplification of the classical Biot's model for poroelastic media. For the interface porous medium/vacuum there exist two surface waves in the whole range of freuencies - a leaky Rayleigh wave and a true Stoneley wave. For the interface porous medium/fluid one more surface wave appears - a leaky Stoneley wave. For this boundary velocities and attenuations of the waves are shown in dependence on the surface permeability. The true Stoneley wave exists only in a limited range of this parameter.